Constant of Proportionality (Tables & Graphs)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It remains constant throughout the relationship.

Front

What does 'k' represent in a proportional relationship?

Back

'k' represents the constant of proportionality, which is the factor by which one quantity is multiplied to obtain the other.

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratio of the values in one column to the values in another column is constant.

Front

What is the constant of proportionality in the equation y = kx?

Back

'k' is the constant of proportionality in the equation, indicating how much y changes for a unit change in x.

Front

If a table shows values (2, 6), (4, 12), and (6, 18), what is the constant of proportionality?

Back

The constant of proportionality is 3, as each y-value is 3 times the corresponding x-value.

Front

What is the constant of proportionality for the graph of a line passing through the origin?

Back

The constant of proportionality is the slope of the line, which can be calculated as 'rise over run'.

Front

If the constant of proportionality is 5, what is the value of y when x = 4?

Back

y = 5 * 4 = 20.

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, the ratio between the quantities is not constant, meaning it changes as the values change.

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, determine the slope of the line, which is the change in y divided by the change in x.

Front

What is the constant of proportionality if y = 3x + 2?

Back

The constant of proportionality is 3, as it is the coefficient of x.